Show the Proof

import proveit
# Automation is not needed when only showing a stored proof:
proveit.defaults.automation = False # This will speed things up.
proveit.defaults.inline_pngs = False # Makes files smaller.
%show_proof

	step type	requirements	statement
0	modus ponens	1, 2	⊢
1	instantiation	3, 4, 5*	⊢
	:
2	instantiation	6, 7, 8	⊢
	: , :
3	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.fold_forall_natural_pos
4	instantiation	9, 10, 11	⊢
	: , : , :
5	instantiation	12, 13	⊢
	:
6	theorem		⊢
	proveit.logic.booleans.conjunction.and_if_both
7	generalization	13	⊢
8	generalization	14	⊢
9	axiom		⊢
	proveit.logic.equality.equals_transitivity
10	instantiation	15, 56, 18, 71, 57, 16, 20, 21	⊢
	: , : , : , : , : , :
11	instantiation	17, 71, 18, 56, 19, 57, 20, 21, 22*	⊢
	: , : , : , : , : , :
12	theorem		⊢
	proveit.logic.booleans.disjunction.unary_or_reduction
13	assumption		⊢
14	instantiation	60, 66, 23, 24, 25, 26	, ,  ⊢
	: , : , : , :
15	theorem		⊢
	proveit.numbers.addition.disassociation
16	instantiation	27	⊢
	: , :
17	theorem		⊢
	proveit.numbers.addition.association
18	theorem		⊢
	proveit.numbers.numerals.decimals.nat2
19	instantiation	27	⊢
	: , :
20	instantiation	74, 29, 28	⊢
	: , : , :
21	instantiation	74, 29, 30	⊢
	: , : , :
22	theorem		⊢
	proveit.numbers.numerals.decimals.add_1_1
23	instantiation	67, 73	⊢
	: , : , :
24	instantiation	65, 66	⊢
	: , :
25	instantiation	31, 32, 33	, ,  ⊢
	: , : , :
26	instantiation	34, 35	⊢
	: , : , :
27	theorem		⊢
	proveit.numbers.numerals.decimals.tuple_len_2_typical_eq
28	instantiation	36, 37, 38	⊢
	: , : , :
29	theorem		⊢
	proveit.numbers.number_sets.complex_numbers.real_within_complex
30	instantiation	74, 39, 40	⊢
	: , : , :
31	theorem		⊢
	proveit.logic.equality.sub_left_side_into
32	instantiation	41, 42, 43	, ,  ⊢
	: , :
33	instantiation	44, 73	⊢
	: , : , :
34	theorem		⊢
	proveit.core_expr_types.tuples.merge_extension
35	instantiation	72, 73	⊢
	: , :
36	theorem		⊢
	proveit.logic.sets.inclusion.unfold_subset_eq
37	instantiation	45, 46	⊢
	: , :
38	instantiation	47, 48	⊢
	: , :
39	theorem		⊢
	proveit.numbers.number_sets.real_numbers.rational_within_real
40	instantiation	74, 49, 50	⊢
	: , : , :
41	theorem		⊢
	proveit.logic.booleans.disjunction.binary_closure
42	instantiation	51, 52	, ,  ⊢
	:
43	instantiation	53, 73, 56, 58, 57, 59	,  ⊢
	: , : , : , : , :
44	axiom		⊢
	proveit.logic.booleans.disjunction.multi_disjunction_def
45	theorem		⊢
	proveit.logic.sets.inclusion.relax_proper_subset
46	theorem		⊢
	proveit.numbers.number_sets.real_numbers.nat_pos_within_real
47	theorem		⊢
	proveit.logic.booleans.conjunction.left_from_and
48	assumption		⊢
49	theorem		⊢
	proveit.numbers.number_sets.rational_numbers.int_within_rational
50	instantiation	74, 54, 71	⊢
	: , : , :
51	assumption		⊢
52	instantiation	55, 56, 73, 71, 57, 58, 59	,  ⊢
	: , : , : , : , : , :
53	theorem		⊢
	proveit.logic.booleans.conjunction.any_from_and
54	theorem		⊢
	proveit.numbers.number_sets.integers.nat_within_int
55	theorem		⊢
	proveit.logic.booleans.conjunction.some_from_and
56	axiom		⊢
	proveit.numbers.number_sets.natural_numbers.zero_in_nats
57	theorem		⊢
	proveit.core_expr_types.tuples.tuple_len_0_typical_eq
58	instantiation	65, 73	⊢
	: , :
59	instantiation	60, 66, 61, 62, 63, 64	,  ⊢
	: , : , : , :
60	theorem		⊢
	proveit.logic.equality.sub_in_right_operands_via_tuple
61	instantiation	65, 66	⊢
	: , :
62	instantiation	67, 73	⊢
	: , : , :
63	assumption		⊢
64	instantiation	68, 69	⊢
	: , : , :
65	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_typical_eq
66	instantiation	70, 73, 71	⊢
	: , :
67	theorem		⊢
	proveit.core_expr_types.tuples.extended_range_from1_len_typical_eq
68	axiom		⊢
	proveit.core_expr_types.tuples.range_extension_def
69	instantiation	72, 73	⊢
	: , :
70	theorem		⊢
	proveit.numbers.addition.add_nat_closure_bin
71	theorem		⊢
	proveit.numbers.numerals.decimals.nat1
72	theorem		⊢
	proveit.core_expr_types.tuples.range_from1_len_is_nat
73	instantiation	74, 75, 76	⊢
	: , : , :
74	theorem		⊢
	proveit.logic.sets.inclusion.superset_membership_from_proper_subset
75	theorem		⊢
	proveit.numbers.number_sets.natural_numbers.nat_pos_within_nat
76	assumption		⊢
*equality replacement requirements